The data about per unit price and weights for four different items in the year 2017 and 2018 are as follows. C

Question 30 of 45

The data about per unit price and weights for four different items in the year 2017 and 2018 are as follows. Compute the index number of the year 2018:

Items	Weight	Year 2017 Price per unit (₹)	Year 2018 Price per unit (₹)
A	40	64	80
B	25	160	200
C	20	48	60
D	15	8	12

Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2023Subjective· 3mImportance★★★★★

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Price relatives: A,B,C $=125$ ; D $=150$ . Weighted average $=\dfrac{\sum WP}{\sum W}=\dfrac{12875}{100}=128.75$ .

Using the weighted average of price relatives method, where $P=\dfrac{p_1}{p_0}\times100$ and $W$ is the weight:

Item	$W$	$p_0$ (2017)	$p_1$ (2018)	$P=\frac{p_1}{p_0}\times100$	$WP$
A	40	64	80	$\frac{80}{64}\times100=125$	$5000$
B	25	160	200	$\frac{200}{160}\times100=125$	$3125$
C	20	48	60	$\frac{60}{48}\times100=125$	$2500$

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